论文标题

定位 - 键入渗透解决方案,以防止\ textit {phytophthora} Zoospores在种植园上的传播

Site-bond percolation solution to preventing the propagation of \textit{Phytophthora} zoospores on plantations

论文作者

Ramírez, J. E., Pajares, C., Martínez, M. I., Fernández, R. Rodríguez, Molina-Gayosso, E., Lozada-Lechuga, J., Téllez, A. Fernández

论文摘要

我们提出了一种基于现场键合的策略,以最大程度地减少\ textit {phytophthora} Zoospores在人工植物上的传播,包括在附近的植物之间引入物理障碍。区分了两个聚类过程:i)一个具有病原体存在的细胞,在土壤分析中检测到; ii)病植物的植物,从对人工林的目视检查中揭示。前者用标准位置键渗透很好地描述了。在后者中,当没有引入障碍时,渗透阈值是由Tsallis分布拟合的。在这两种情况下,我们提供了最小屏障密度的公式,以防止跨越簇的出现。尽管这项工作集中在特定的病原体上,但此处介绍的模型也可以用于防止其他病原体的传播,这些病原体通过其他方式从一种植物传播到相邻的病原体。最后,还显示了这种策略在三种类型的商业墨西哥辣椒植物中的应用。

We propose a strategy based on the site-bond percolation to minimize the propagation of \textit{Phytophthora} zoospores on plantations, consisting in introducing physical barriers between neighboring plants. Two clustering processes are distinguished: i) one of cells with the presence of the pathogen, detected on soil analysis; and ii) that of diseased plants, revealed from a visual inspection of the plantation. The former is well described by the standard site-bond percolation. In the latter, the percolation threshold is fitted by a Tsallis distribution when no barriers are introduced. We provide, for both cases, the formulae for the minimal barrier density to prevent the emergence of the spanning cluster. Though this work is focused on a specific pathogen, the model presented here can also be applied to prevent the spreading of other pathogens that disseminate, by other means, from one plant to the neighboring ones. Finally, the application of this strategy to three types of commercialy important Mexican chili plants is also shown.

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